Find the linear, $L(x,y)$, and quadratic, $Q(x,y)$, Taylor polynomials valid near $(2,0)$ for $$f(x,y) = \sin\!\left(x-2\right)\cos\!\left(y\right).$$ $L(x,y) =$
$Q(x,y) =$

Find the approximations for $f(2.1,-0.2)$ generated by these, and compare with the exact value of the function:
At $(2.1,-0.2)$,
$L(2.1,-0.2) =$ ,
$Q(2.1,-0.2) =$ ,
$f(2.1,-0.2) =$ .